{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "fcc16636",
   "metadata": {},
   "source": [
    "### 使用正规方程进行求解"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f49eb19",
   "metadata": {},
   "source": [
    "#### 简单线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "629e8eec",
   "metadata": {},
   "outputs": [
    {
     "ename": "ModuleNotFoundError",
     "evalue": "No module named 'numpy'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[1], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mnumpy\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mnp\u001b[39;00m\n\u001b[0;32m      2\u001b[0m \u001b[38;5;28;01mimport\u001b[39;00m \u001b[38;5;21;01mmatplotlib\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mpyplot\u001b[39;00m \u001b[38;5;28;01mas\u001b[39;00m \u001b[38;5;21;01mplt\u001b[39;00m \u001b[38;5;66;03m# 转化成矩阵\u001b[39;00m\n\u001b[0;32m      3\u001b[0m X \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mlinspace(\u001b[38;5;241m0\u001b[39m,\u001b[38;5;241m10\u001b[39m,num \u001b[38;5;241m=\u001b[39m \u001b[38;5;241m30\u001b[39m)\u001b[38;5;241m.\u001b[39mreshape(\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m,\u001b[38;5;241m1\u001b[39m)\n",
      "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'numpy'"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt # 转化成矩阵\n",
    "X = np.linspace(0,10,num = 30).reshape(-1,1)\n",
    "# 斜率和截距，随机生成\n",
    "w = np.random.randint(1,5,size = 1)\n",
    "b = np.random.randint(1,10,size = 1)\n",
    "# 根据一元一次方程计算目标值y，并加上“噪声”，数据有上下波动~\n",
    "y = X * w + b + np.random.randn(30,1)\n",
    "plt.scatter(X,y)\n",
    "# 重新构造X，b截距，相当于系数w0，前面统一乘以1\n",
    "X = np.concatenate([X,np.full(shape = (30,1),fill_value= 1)],axis = 1)\n",
    "# 正规方程求解\n",
    "θ = np.linalg.inv(X.T.dot(X)).dot(X.T).dot(y).round(2)\n",
    "print('一元一次方程真实的斜率和截距是：',w, b)\n",
    "print('通过正规方程求解的斜率和截距是：',θ)\n",
    "# 根据求解的斜率和截距绘制线性回归线型图\n",
    "plt.plot(X[:,0],X.dot(θ),color = 'green')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "84b9239d",
   "metadata": {},
   "source": [
    "#### 多元线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9968b278",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "二元一次方程真实的斜率和截距是： [3 1 9]\n",
      "通过正规方程求解的斜率和截距是： [3.   1.   8.91]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<mpl_toolkits.mplot3d.art3d.Line3D at 0x22cb63543a0>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D # 绘制三维图像\n",
    "# 转化成矩阵\n",
    "x1 = np.random.randint(-150,150,size = (300,1))\n",
    "x2 = np.random.randint(0,300,size = (300,1))\n",
    "# 斜率和截距，随机生成\n",
    "w = np.random.randint(1,5,size = 2)\n",
    "b = np.random.randint(1,10,size = 1)\n",
    "# 根据二元一次方程计算目标值y，并加上“噪声”，数据有上下波动~\n",
    "y = x1 * w[0] + x2 * w[1] + b + np.random.randn(300,1)\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "ax = Axes3D(fig)\n",
    "fig.add_axes(ax)\n",
    "ax.scatter(x1,x2,y) # 三维散点图\n",
    "ax.view_init(elev=10, azim=-20) # 调整视角\n",
    "# 重新构造X，将x1、x2以及截距b，相当于系数w0，前面统一乘以1进行数据合并\n",
    "X = np.concatenate([x1,x2,np.full(shape = (300,1),fill_value=1)],axis = 1)\n",
    "w = np.concatenate([w,b])\n",
    "# 正规方程求解\n",
    "θ = np.linalg.inv(X.T.dot(X)).dot(X.T).dot(y).round(2)\n",
    "print('二元一次方程真实的斜率和截距是：',w)\n",
    "print('通过正规方程求解的斜率和截距是：',θ.reshape(-1))\n",
    "# # 根据求解的斜率和截距绘制线性回归线型图\n",
    "x = np.linspace(-150,150,100)\n",
    "y = np.linspace(0,300,100)\n",
    "z = x * θ[0] + y * θ[1] + θ[2]\n",
    "ax.plot(x,y,z ,color = 'red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95912bae",
   "metadata": {},
   "source": [
    "#### sklearn简单线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "13257654",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "一元一次方程真实的斜率和截距是： [2] [9]\n",
      "通过scikit-learn求解的斜率和截距是： [[2.04910138]] [8.62528622]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x298bf972af0>]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# 转化成矩阵\n",
    "X = np.linspace(0,10,num = 30).reshape(-1,1)\n",
    "# 斜率和截距，随机生成\n",
    "w = np.random.randint(1,5,size = 1)\n",
    "b = np.random.randint(1,10,size = 1)\n",
    "# 根据一元一次方程计算目标值y，并加上“噪声”，数据有上下波动~\n",
    "y = X * w + b + np.random.randn(30,1)\n",
    "plt.scatter(X,y)\n",
    "# 使用scikit-learn中的线性回归求解\n",
    "model = LinearRegression()\n",
    "model.fit(X,y)\n",
    "w_ = model.coef_\n",
    "b_ = model.intercept_\n",
    "print('一元一次方程真实的斜率和截距是：',w, b)\n",
    "print('通过scikit-learn求解的斜率和截距是：',w_,b_)\n",
    "plt.plot(X,X.dot(w_) + b_,color = 'green')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ead8a680",
   "metadata": {},
   "source": [
    "#### sklearn多元线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "c07abcf8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "二元一次方程真实的斜率和截距是： [3 1] [4]\n",
      "通过scikit-learn求解的斜率和截距是： [3.00073118 0.9996632 ] [4.0005475]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<mpl_toolkits.mplot3d.art3d.Line3D at 0x22cb33f3970>]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "from sklearn.linear_model import LinearRegression\n",
    "# 转化成矩阵\n",
    "x1 = np.random.randint(-150,150,size = (300,1))\n",
    "x2 = np.random.randint(0,300,size = (300,1))\n",
    "# 斜率和截距，随机生成\n",
    "w = np.random.randint(1,5,size = 2)\n",
    "b = np.random.randint(1,10,size = 1)\n",
    "# 根据二元一次方程计算目标值y，并加上“噪声”，数据有上下波动~\n",
    "y = x1 * w[0] + x2 * w[1] + b + np.random.randn(300,1)\n",
    "fig = plt.figure(figsize=(9,6))\n",
    "ax = Axes3D(fig)\n",
    "fig.add_axes(ax)\n",
    "ax.scatter(x1,x2,y) # 三维散点图\n",
    "ax.view_init(elev=10, azim=-20) # 调整视角\n",
    "# 重新构造X，将x1、x2以及截距b，相当于系数w0，前面统一乘以1进行数据合并\n",
    "X = np.concatenate([x1,x2],axis = 1)\n",
    "# 使用scikit-learn中的线性回归求解\n",
    "model = LinearRegression()\n",
    "model.fit(X,y)\n",
    "w_ = model.coef_.reshape(-1)\n",
    "b_ = model.intercept_\n",
    "print('二元一次方程真实的斜率和截距是：',w,b)\n",
    "print('通过scikit-learn求解的斜率和截距是：',w_,b_)\n",
    "# # 根据求解的斜率和截距绘制线性回归线型图\n",
    "x = np.linspace(-150,150,100)\n",
    "y = np.linspace(0,300,100)\n",
    "z = x * w_[0] + y * w_[1] + b_\n",
    "ax.plot(x,y,z ,color = 'green')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28417dbc",
   "metadata": {},
   "source": [
    "### 波士顿房价预测"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "85b278a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(506, 13)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(506,)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "array([24. , 21.6, 34.7, 33.4, 36.2])"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn import datasets  #导入数据\n",
    "from sklearn.model_selection import train_test_split\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "#加载数据\n",
    "data_url = \"http://lib.stat.cmu.edu/datasets/boston\"\n",
    "raw_df = pd.read_csv(data_url, sep=\"\\s+\", skiprows=22, header=None)\n",
    "X = np.hstack([raw_df.values[::2, :], raw_df.values[1::2, :2]])\n",
    "y = raw_df.values[1::2, 2]\n",
    "#X = data['data']\n",
    "#y = data['target']\n",
    "display(X.shape, y.shape, y[:5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "f005bcfc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-3 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-3 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-3 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-3 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-3 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-3 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-3 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-3 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-3 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-3 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-3 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-3 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-3 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-3 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-3\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>LinearRegression()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-3\" type=\"checkbox\" checked><label for=\"sk-estimator-id-3\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;&nbsp;LinearRegression<a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.4/modules/generated/sklearn.linear_model.LinearRegression.html\">?<span>Documentation for LinearRegression</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>LinearRegression()</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "LinearRegression()"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#数据拆分\n",
    "X_train,X_test,y_train,y_test = train_test_split(X,y,test_size=50)\n",
    "#声明模型\n",
    "model = LinearRegression(fit_intercept=True) #有截距\n",
    "#训练，建模\n",
    "model.fit(X_train, y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "81d347be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([15.80125951, 25.06133193, 24.94767986, 21.26294382, 25.84037452,\n",
       "       22.38206449, 27.09736121, 12.06199583, 13.12404402, 11.59640697,\n",
       "       10.96996089, 30.93010846, 13.91193043, 26.67353539,  6.43915512,\n",
       "       23.02407741, 17.29409179, 31.68789114, 13.40110807, 14.29796983,\n",
       "       34.05727692, 18.45030927, 21.69442468, 19.81965625, 36.56848615,\n",
       "       14.35982364, 23.01877201, 17.55046752, 20.87254622, 25.41576127,\n",
       "       29.27574329, 24.26257658, 14.35084775, 20.62018797, 14.44100779,\n",
       "       25.33205933, 28.85808256, 40.78266914, 22.65445052, 17.10767156,\n",
       "       13.77797841, 20.91452034,  8.89852586, 26.24673253, 19.40162869,\n",
       "       18.6795271 , 34.55202369, 21.65195277, 32.8906535 , 23.8018745 ])"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#预测\n",
    "y_ = model.predict(X_test)\n",
    "y_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "851e3a56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8577540518015587"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#模型评价\n",
    "model.score(X_test, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "7cbf4ae8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.415270295419788"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#均方误差\n",
    "from sklearn.metrics import mean_squared_error\n",
    "mean_squared_error(y_test,y_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "a7183f56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8.415270295419788"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "((y_test-y_)**2).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "37a14d3d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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